Abstract
We have reached an interesting point. The next goal is to find out exactly what the abstract spectral resolution, derived for arbitrary self-adjoint operators in a Hilbert space, looks like when applied to the self-adjoint linear Hamiltonian systems of Hinton and Shaw. Remarkably we can find detailed formulas for the spectral measure and the Hilbert space it generates, far more than is possible for the setting employed by Niessen.
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© 2002 Springer Basel AG
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Krall, A.M. (2002). The Spectral Resolution for Linear Hamiltonian Systems with One Singular Point. In: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials. Operator Theory: Advances and Applications, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8155-5_10
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DOI: https://doi.org/10.1007/978-3-0348-8155-5_10
Publisher Name: Birkhäuser, Basel
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